14 / 45
56 / 100 reduces to 14 / 45
Answer: 28.75° and 61.25°
Step-by-step explanation:
A complementary angle equals 90°.
Let the measure of the angle be a
Therefore, its complement will be:
= 90-a.
The complement of an angle is 25 less than 3 times the angles itself can be written as:
90-a = 3a - 25
90 + 25 = 3a + a
115 = 4a
a = 115/4
a= 28.75
Since the angle is 28.75°, the complement will be:
= 90° - 28.75°
= 61.25°
The angles are 28.75° and 61.25°
Answer:
The measure of an arc is equal to the angle opposite it
Therefore the answer is C. 100°
Hope this helps!
Answer:
$7153.03
Step-by-step explanation:
To find the total amount after 3 years, we can use the formula for compound tax:
P = Po * (1+r/n)^(t*n)
where P is the final value, Po is the inicial value, r is the rate, t is the amount of time and n depends on how the tax is compounded (in this case, it is semi-annually, so n = 2)
For our problem, we have that Po = 5000, r = 12.3% = 0.123, t = 3 years and n = 2, then we can calculate P:
P = 5000 * (1 + 0.123/2)^(3*2)
P = 5000 * (1 + 0.0615)^6
P = $7153.029
Rounding to the nearest cent, we have P = $7153.03